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Simplifying 7r + -12 + 3s + 8r + 11s = 0 Reorder the terms: -12 + 7r + 8r + 3s + 11s = 0 Combine like terms: 7r + 8r = 15r -12 + 15r + 3s + 11s = 0 Combine like terms: 3s + 11s = 14s -12 + 15r + 14s = 0 Solving -12 + 15r + 14s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 15r + 12 + 14s = 0 + 12 Reorder the terms: -12 + 12 + 15r + 14s = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 15r + 14s = 0 + 12 15r + 14s = 0 + 12 Combine like terms: 0 + 12 = 12 15r + 14s = 12 Add '-14s' to each side of the equation. 15r + 14s + -14s = 12 + -14s Combine like terms: 14s + -14s = 0 15r + 0 = 12 + -14s 15r = 12 + -14s Divide each side by '15'. r = 0.8 + -0.9333333333s Simplifying r = 0.8 + -0.9333333333s
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